Sasakian Manifolds With Quasi-Conformal Curvature Tensor

De, Uday Chand; Jun, Jae-Bok; Gazi, Abul Kalam

doi:10.4134/bkms.2008.45.2.313

Cited by 13 publications

(7 citation statements)

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“…An almost contact metric manifold of dimension three is called quasi-Sasakian manifold if and only if (De and Absos, 1997)…”

Section: Quasi-sasakian Structure Of Dimension Threementioning

confidence: 99%

On three-dimensional quasi-Sasakian manifolds admitting semi-symmetric metric connection

Yadav¹,

Suthar²

2013

Int. J. Phys. Sci.

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The object of the present paper is to study three-dimensional quasi-Sasakian manifold equipped with semi-symmetric metric connection. The geometrical properties of conformal curvature tensor and the conservative quasi-conformal curvature tensor are discussed with such connection. Among other we have deal the conservative properties of quasi-conformal curvature with respect to semi-symmetric metric connection.

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“…An almost contact metric manifold of dimension three is called quasi-Sasakian manifold if and only if (De and Absos, 1997)…”

Section: Quasi-sasakian Structure Of Dimension Threementioning

confidence: 99%

On three-dimensional quasi-Sasakian manifolds admitting semi-symmetric metric connection

Yadav¹,

Suthar²

2013

Int. J. Phys. Sci.

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“…Assume S and r denote the Ricci tensor of type (0,2) and the scalar curvature in a Sasakian manifold (M n , g), respectively. In a Sasakian manifold M n , the following relations are known to hold true ( [1,3,5,6])…”

Section: Preliminariesmentioning

confidence: 99%

On D-conformal Curvature Tensor Sasakian Manifolds

Taleshian¹,

Hosseinzadeh²,

Khaniani³

2011

Journal of Nonlinear Analysis and Application

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“…Yano and Sawaki established the concept of a quasi‐conformal curvature tensor

\overset{C}{true}

on a Riemannian manifold M in 1968 18 and Avijit reduced the quasi‐conformal curvature tensor to the conformal curvature tensor 19 . Later quasi‐conformal curvature tensor has been studied by various authors.…”

Section: Introductionmentioning

confidence: 99%